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Simplifying -5 + -7(1 + 8z) = -30 -5 + (1 * -7 + 8z * -7) = -30 -5 + (-7 + -56z) = -30 Combine like terms: -5 + -7 = -12 -12 + -56z = -30 Solving -12 + -56z = -30 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -56z = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -56z = -30 + 12 -56z = -30 + 12 Combine like terms: -30 + 12 = -18 -56z = -18 Divide each side by '-56'. z = 0.3214285714 Simplifying z = 0.3214285714
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